Final answer:
The midpoint of the segment JL with endpoints J (7,2) and L (-3,6) is found using the midpoint formula and is calculated to be (2, 4).
Step-by-step explanation:
To find the midpoint of the segment JL with endpoints J (7,2) and L (-3,6), we can use the midpoint formula, which is ((x1 + x2) / 2, (y1 + y2) / 2). Applying the coordinates of J and L to the formula gives us the following calculations:
- Calculate the average of the x-coordinates: (7 + (-3)) / 2 = (7 - 3) / 2 = 4 / 2 = 2.
- Calculate the average of the y-coordinates: (2 + 6) / 2 = 8 / 2 = 4.
- Therefore, the midpoint of JL is (2, 4).
The midpoint is the point that divides the segment JL into two equal parts, and in this case, it is the point (2, 4).